Question

Equal volume of two immiscible liquids of densities $\rho$ and $2\rho$ are filled in a vessels as shown in the figure. Two small holes are punched at depths $h/2$ and $3h/2$ from the surface of lighter liquid. if $v_1$ and $v_2$ are the velocities of efflux at these two holes, then $\frac{v_1}{v_2}$is

• A. $\frac{1}{2\sqrt{2}}$
• B. $\frac{1}{2}$
• C. $\frac{1}{4}$
• D. $\frac{1}{\sqrt{2}}$

Answer 1

The correct option is D $\frac{1}{\sqrt{2}}$

Velocity of efflux = $\sqrt{2gh}$

$V_1=\sqrt{2gh}$

$V_2=\sqrt{2g2h}[asH=2h]$

$\frac{V_1}{V_2}=\frac{1}{\sqrt{2}}$